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# Find the number of ways in which 5 boys and 5 girls may be

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Director
Joined: 03 Jul 2003
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Find the number of ways in which 5 boys and 5 girls may be [#permalink]  06 Jan 2004, 15:04
Find the number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls are together.
Director
Joined: 14 Oct 2003
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Location: On Vacation at My Crawford, Texas Ranch
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Re: Comb - boys and girls [#permalink]  06 Jan 2004, 15:32
Find the number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls are together.

could be

G B G B G B G B G B

or

B G B G B G B G B G

thus (5! x 5!)x2 = 28,880
Director
Joined: 03 Jul 2003
Posts: 655
Followers: 2

Kudos [?]: 22 [0], given: 0

Ans: 28800 is correct!
GMAT Club Legend
Joined: 15 Dec 2003
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Yup, forgot the possibility that it could interchangeably start by a boy or a girl
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Best Regards,

Paul

Director
Joined: 03 Jul 2003
Posts: 655
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Kudos [?]: 22 [0], given: 0

Sorry folks!
This answer is correct if "Find the number of ways in which 5 boys and 5 girls can be seated alternately in a row?"
Ans: 28800 is correct!

The correct answer for the posted question is 86400.

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